This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
, Factorise: 2x-7x-15 |
|
Answer» 2x*x - 7x - 15 = 2x*x - 10x + 3x - 15 = 2x(x-5)+3(x-5) = (2x+3)(x-5) |
|
| 2. |
023. Find the area of triangle formed by the points P(-1.5,3), Q(6,-2) andR (-3,4) |
| Answer» | |
| 3. |
-28*x^4 %2B 74*x^4 |
| Answer» | |
| 4. |
Factorise: 2x-7x-15 |
|
Answer» 2x^2 - 7x - 15 = 2x^2 - 10x + 3x - 15= 2x(x - 5) + 3(x - 5)= (2x +3)(x - 5) |
|
| 5. |
factorise.(3m+6n+12mn). |
|
Answer» If you like the solution, Please give it a 👍 HCF of 3m+6n+12mn=33(m+2n+4mn)This is correct. |
|
| 6. |
3m square + 9m + 6 |
|
Answer» 3m^2 + 9m + 6=03m^2 + 6m + 3m + 6=03m(m+2) + 3(m+2)=0(3m+3)(m+2)=0m = -1, -2 it is a factorisation question |
|
| 7. |
13. Factorise : 2x-7x-15 |
|
Answer» 2x^2-(10-3)x-15=02x^2-10x+3x-15= 02x(x-5)+3(x-5)=0(2x+3)(x-5)=0x= 5 and x= -3/2are the zeros of this quadratic |
|
| 8. |
if P (A)= P(B).show that A= B |
|
Answer» Every set is a member of power set so that, A ∈ P(A) Given that P (A) = P (B) So that A ∈ P(B) A is a element of power set of B so that, A ⊂ B ... (1) Similarly we can prove that B ⊂ A ... (2) From equation (1) and (2) we get, A = B |
|
| 9. |
10. For any sets A and B, show thatP(AnB) P (A)n P (B) |
| Answer» | |
| 10. |
3/5(25)2 x (243)(16)74 x (8)4w33/2 |
| Answer» | |
| 11. |
EXERCISE 2.6Solve the following equations.12=22.=153. z+1593y +4-274+4_-4.2-65 |
|
Answer» 8x-3/3x =2; 8x-3=6x; 8x-6x-3=2x-3; 2) 9x/7-6x=15; 9x=15(7-6x); 9x=105-90x; 9x+90x=105; 99x=105; 8x-3/3x=2,; 8x-3=6x; 8x-6x-3; 2x=3; ; 2) 9x/7-6x=15; 9x=15(7-6x); 9x=105-90x; 99x=105; x=105/99=35/33; 3)z/z+15=4/9; 9z=z+15(4); 9z-z=60; 8z=60; z=60/8=30/4=15/2;; 3y+4/2-6y=-2/5; (3y+4)(5)=(-2)(2-6y); 15y+20=-4+12y; 15y-12y=-4-20; 3y=-24; y=24/3=-8; 5) 7y+4/y+2=-4/3; 7y+4(3)=y+2(-4); 21y+12=-4y-8; 21y-4y=-8-12; 17y=-20; ; y=20/17 8x-3=6x or 8x-6x=3 or 2x=3 or x=3/2 the answer of this is8x-3____ 3x 1. 8x - 3/ 3x = 2 8x × 3x = 2 + 3 24x = 5 x = 24/5 x = 4.9 2. 9x / 7 - 6x = 15 9x × 6x = 15 -7 54x = 8 x = 54 / 8 x = 6.75 3. z / z + 15 = 4/9 z^2 = 4/9 - 15 z^2 = 4/9 - 135/9 z^2 = -131/9 z = -131/49/z z = -131/49 4. 3y+4 / 2-6y = -2/5 3y×6y / -4+2 = -2/5 18y / -2 = -2/5 18y = -2/5 ×-2 18y = 4/5 y = 4/5/18 y = 4/5×18 y = 72/5 y = 14.4 |
|
| 12. |
\begin{array} { l } { 2 x + 3 y = 46 } \\ { 3 x + 4 y = 74 } \end{array} |
|
Answer» please solve cross multiplication. |
|
| 13. |
4800 x 2.5% + 75 x 20% - 950  0.1. |
|
Answer» 4800*2.5/100 + 75*20/100 -950/10120+15-95=45 |
|
| 14. |
An isosceles triangle has perimeter, 30 cm and each ofthe equal sides is 12 cm. Findthe area of the triangle. |
| Answer» | |
| 15. |
the adjoining figure, 1 and m are two parallel linesIn6 otersected by another pair of parallel lines p and q. Showthat AABC ACDA |
| Answer» | |
| 16. |
factorise :-3m square +9m +6 |
|
Answer» Factorization: 3m² + 9m + 6 3m ² + 3m + 6m + 6 3m ( m + 1) + 6 ( m + 1) (3m + 1) ( m + 1) |
|
| 17. |
factorise 2x square - x -1 |
| Answer» | |
| 18. |
Fat soluble vitamill.State the difference between the two components.Antibiotics and probiotics with reference to useful microorganisms in the intestine |
|
Answer» Antibiotics work by decreasing the amount of bacteria present, while probiotics work by increasing and diversifying the amount of bacteria. |
|
| 19. |
find the time period in each of theollowingLi2p=1800, 1 = 198, R = 5.5% p. |
|
Answer» the answer is 2 years the answer is 2years |
|
| 20. |
I. For what value(s) of a, the system of linear equations 2x+3y=7 and(a -1)x +(a +1y 3a +1 represent parallel lines? |
|
Answer» If the given two lines are parallel, then their slopes are equal. Then, equation of lines in standard formy = mx + c 2x + 3y = 7y = - 2/3x + 7/3......(1) (a-1)x + (a + 1)y = 3a+1y = [(1 - a)/(a + 1)]x + (3a+1)/(a+1) Hence,(1 - a)/(a + 1) = - 2/33 - 3a = - 2a - 22a - 3a = 3 - 2-a = 1a = - 1 Therefore value of a = - 1 value of a is 5 you are wrong |
|
| 21. |
For what values of a and b the pair of linear equations have infinite number of solutions?2x+3y=7a(x+y)-b(x-y)=3a+b-2 |
|
Answer» Please like the solution 👍 ✔️ mast jai |
|
| 22. |
रण « और & के किन मानों के लिए, निम्न रैखिक समीकरणों के युग्म के अपरिमित रूप सेअनेक हल होंगे?x+3y=7.(a-b)x+(+b)y=3a+b-2 |
|
Answer» यदिa1/ a2= b1/ b2= c1/ c2तब बहुत हल होगेअतः2/(a-b)=3/(a+b)2/3= (a-b)/(a+b)2(a+b)= 3(a-b)2a+2b=3a-3b-a=-ba=b---(1)अतः3/(a+b)=-7/3a+b-23(3a+b-2)=-7(a+b)9a+3b-6= -7a-7b as a= b9a+3a+7a+7a= 626a= 6a=b= 6/26 |
|
| 23. |
16(a-b)cube-24(a-b) square factorise |
|
Answer» 16(a-b)³ -24(a-b)²8(a-b) [2(a-b) -3]8(a-b) (2a - 2b -3) 16(a-b)³ -24(a-b)²8(a-b) [2(a-b) -3]8(a-b) (2a - 2b -3) thanku |
|
| 24. |
= A oS O emd & ० छोन 209 2८४ पका. |
| Answer» | |
| 25. |
If x2 + px + q(x+а)(x + b) ,then factorise x2 +pry + qy2 |
| Answer» | |
| 26. |
Date 2ulyHWSH-3AUnit 6: Squares, Cubes and RootsROWFind the square roots of the following numbers:900 = 7900 59x10o = V32x102121221121R2)3x10 =303x10)? - 13210) -1,2Answer=302. 10 - Square loot-ili |
| Answer» | |
| 27. |
57. In the given figure, the measure of ZC is equal toa) 90b) 80°c) 75°ODODd) 95° |
|
Answer» (a) 90° is the right answer 90• is the correct answer of the following 90° is the correct answer... 2a+5a+3a=180a=180/10a=18°c=5ac=5×18c=90° answer 90° is the best answer 90° is correct answer. a 90 is the right and correct answer |
|
| 28. |
LINES AND ANGLES952a°Find the value of a and b, given that p| and r s80° be |
|
Answer» a =40° and b = 100°. |
|
| 29. |
icoसे क्या घटाया जाए कि -1 प्राप्तN |
|
Answer» yes the d option is right as-1+4/7=-3/7 4/7 is the correct answer of the given question 4/7 is the answer of the following 4/7 is answer that is questions |
|
| 30. |
ollowing ratior(2) |
|
Answer» 3/7 is the correct answer of the given question Lowest form for this one is 3/7 |
|
| 31. |
Q. 4. Find the multiplicative inverse of theollowing:(i) 13 [March 2010 Series-A] |
|
Answer» suppose multiplicative inverse is x so (-13)(x) = 1 so x=-1/13 |
|
| 32. |
10. If a17,then find the value of o + 1 and d+4a2 |
|
Answer» a-1/a=7take square in both the sidesa^2-2+1/(a)^2=49so a^2+a^(-2)=51 again take square in both the sidesso a^4+2+a^(-4)=2601so a^4+a^(-4)=2599 |
|
| 33. |
(vii) If A-Vi1show that A2-3A + 1 = 0 |
|
Answer» please tell me the concept of +1 bro please elebrate i cant understand i have my exam at 12:30 |
|
| 34. |
factorise 3a cube b - 243 ab cube |
| Answer» | |
| 35. |
Factorise: (x +903a-b)-(2x-3y)(3aResolre the followine into factors by regrou |
| Answer» | |
| 36. |
. Factorise : x2.100 |
| Answer» | |
| 37. |
Factorise :1. 9-2x² |
|
Answer» thanks |
|
| 38. |
Factorise:1. x2 -36 |
|
Answer» x^2-36=(x)^2-(6)^2=(x+6)(x-6) By using algebraic identity, a² - b² = ( a + b ) ( a - b ) We find the factors. ************************ x² - 36 = x² - 6² = ( x + 6 ) ( x - 6 ) x^2*6^2(x + 6) (x - 6) x=6,-6 are the correct solutions X2-32x*x+8*-4(x+8)(x-4) (x+6)(x-6)=x2-36,x2-6x+6x-36 x*x=x^22*3*2*3=36this can be done By using identity2x²-36(x-6)²x²-2.x.6+6²(x-6)(x-6) x square - 36 x square - 6squarethe formula is a square - b square(a+b) (a-b) this answer is (X+6) (x-6) (a-b)=(a+b)(a-b)(x)^2 (6)^2(x-6) (x+6) (x-6)(x+6) is the correct answer h (x-6)² is the correct answer believe in scholr x^2-36(x)^2-(6)^2(x+6)(x-6) THANKS FOR ASKING QUESTIONS. x^2-36 =(x)^2-(6)^2=(x+6)(x-6) x²-36x³-6²(X+6)(x-6) we apply 3rd identity (a square - bsquare)so (x-6)(x+6) (A-B) (A+B) A=xB=6(X-6) (X+6) x²-36(x)² - (6)²(x+6) (x-6) by using identity a^2-b^2 = ( a+ b ) ( a - b )x^2-36x^2 - 6^2( x+6) ( x-6) solution (x+6)( x_6) (x+6)(x-6) is the answer a^2-b^2=*( a+b). (a-b) so this question answer is (x+6)(x-6) The correct answer is x-6 (x-6) (x+6) is right answer a²-b²=(a+b)(a-b) x²-6²(x+6)(x-6) This question answered by (6) =(x)² - (6)²= (x+6)(x-6) |
|
| 39. |
factorise (1-x^2)(1-y^2) |
| Answer» | |
| 40. |
1,x2 +8x+16 |
|
Answer» x*x+8x+16 = x*x+2(4)(x)+4*4 = (x+4)(x+4) |
|
| 41. |
x2- 4x+16 |
| Answer» | |
| 42. |
Factorise :1. x2 + 9x + 18 |
| Answer» | |
| 43. |
Factorise: x2-2x-99 |
|
Answer» x² - 2x - 99 = x² +9x - 11x - 99 = x(x+9) - 11(x + 9) = (x-11)(x+9) |
|
| 44. |
Factorise:1, x2+11x+30 |
| Answer» | |
| 45. |
hollowing |
|
Answer» 4 hundred ,eighty six |
|
| 46. |
ilnialbal is equal to four rFind the measure of each angle of the quadrilateral.D,2x+103x-203x+202xAL |
|
Answer» 2x + 3x + 20 + 3x - 20 + 2x + 10 = 360 10x + 10 = 360 10x = 350 x = 35 angles are 70,125,85,80 If you find this answer helpful then like it. |
|
| 47. |
Piove that os8095ico |
|
Answer» please send the image clearly which you have sent now in the scholr |
|
| 48. |
10%cĆĄ., Piove that log-'belogiabe.fMmabe+1 |
| Answer» | |
| 49. |
3x+20=30 then find x |
|
Answer» 3x + 20 = 303x = 30 - 203x = 10x = 10/3 thank you |
|
| 50. |
2x8-16Using the numbers from S to 13 construct a 3x3 magic square.What is the magic sum here?Find the product(3t + 1) (3t +4)8.9.10. Find the value of x in the given diagram.411011. Factorise a2 3a -40 |
|
Answer» 9. (3t+1)(3t+4) = 9t² + 12t + 3t + 4 = 9t²+15t+4 10. 90+ 4x +x = 180° ( staright line)5x = 90°x = 90°/5 = 90° 11.a² -3a -40a² +5a -8a -40a(a+5) -8(a+5)(a-8)(a+5) |
|